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In the Maximum Duo-Preservation String Mapping problem we are given two strings and wish to map the letters of the former to the letters of the latter so as to maximise the number of duos. A duo is a pair of consecutive letters that is…

Data Structures and Algorithms · Computer Science 2017-05-31 Bartłomiej Dudek , Paweł Gawrychowski , Piotr Ostropolski-Nalewaja

Given a text $T$ of length $n$ and a pattern $P$ of length $m$, the approximate pattern matching problem asks for computation of a particular \emph{distance} function between $P$ and every $m$-substring of $T$. We consider a…

Data Structures and Algorithms · Computer Science 2019-07-24 Jan Studený , Przemysław Uznański

Social messages classification is a research domain that has attracted the attention of many researchers in these last years. Indeed, the social message is different from ordinary text because it has some special characteristics like its…

Artificial Intelligence · Computer Science 2017-01-27 Siwar Jendoubi , Arnaud Martin , Ludovic Liétard , Boutheina Ben Yaghlane , Hend Ben Hadji

The $k$-mismatch problem consists in computing the Hamming distance between a pattern $P$ of length $m$ and every length-$m$ substring of a text $T$ of length $n$, if this distance is no more than $k$. In many real-world applications, any…

We introduce a novel definition of approximate palindromes in strings, and provide an algorithm to find all maximal approximate palindromes in a string with up to $k$ errors. Our definition is based on the usual edit operations of…

Data Structures and Algorithms · Computer Science 2007-05-23 A. H. L. Porto , V. C. Barbosa

In this work, we consider pattern matching variants in small space, that is, in the read-only setting, where we want to bound the space usage on top of storing the strings. Our main contribution is a space-time trade-off for the Internal…

Data Structures and Algorithms · Computer Science 2024-04-29 Gabriel Bathie , Panagiotis Charalampopoulos , Tatiana Starikovskaya

The concept of sample mean in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems and generalize centroid-based clustering algorithms. Its existence has neither been proved nor challenged.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-06 Brijnesh J. Jain , David Schultz

Given a pattern of length $m$ and a text of length $n$, the goal in $k$-mismatch pattern matching is to compute, for every $m$-substring of the text, the exact Hamming distance to the pattern or report that it exceeds $k$. This can be…

Data Structures and Algorithms · Computer Science 2017-04-06 Paweł Gawrychowski , Przemysław Uznański

Computing the {\em matching statistics} of a string $P[1..m]$ with respect to a text $T[1..n]$ is a fundamental problem which has application to genome sequence comparison. In this paper, we study the problem of computing the matching…

Data Structures and Algorithms · Computer Science 2022-01-14 Younan Gao

The NP-complete Permutation Pattern Matching problem asks whether a permutation P (the pattern) can be matched into a permutation T (the text). A matching is an order-preserving embedding of P into T. In the Generalized Permutation Pattern…

Computational Complexity · Computer Science 2013-01-15 Marie-Louise Bruner , Martin Lackner

In Pattern Matching with Weighted Edits (PMWED), we are given a pattern $P$ of length $m$, a text $T$ of length $n$, a positive threshold $k$, and oracle access to a weight function that specifies the costs of edits (depending on the…

Data Structures and Algorithms · Computer Science 2025-10-21 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz

Given two strings of length $n$ over alphabet $\Sigma$, and an upper bound $k$ on their edit distance, the algorithm of Myers (Algorithmica'86) and Landau and Vishkin (JCSS'88) computes the unweighted string edit distance in…

Data Structures and Algorithms · Computer Science 2023-02-09 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

Data Structures and Algorithms · Computer Science 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

In this paper, we propose a method of improving temporal Convolutional Neural Networks (CNN) by determining the optimal alignment of weights and inputs using dynamic programming. Conventional CNN convolutions linearly match the shared…

Computer Vision and Pattern Recognition · Computer Science 2019-02-08 Brian Kenji Iwana , Seiichi Uchida

In this paper we revisit the classical regular expression matching problem, namely, given a regular expression $R$ and a string $Q$, decide if $Q$ matches one of the strings specified by $R$. Let $m$ and $n$ be the length of $R$ and $Q$,…

Data Structures and Algorithms · Computer Science 2007-05-23 Philip Bille

Multidimensional time series are sequences of real valued vectors. They occur in different areas, for example handwritten characters, GPS tracking, and gestures of modern virtual reality motion controllers. Within these areas, a common task…

Machine Learning · Computer Science 2018-04-20 Jörg P. Bachmann , Johann-Christoph Freytag

In this paper, we revisit the much studied problem of Pattern Matching with Swaps (Swap Matching problem, for short). We first present a graph-theoretic model, which opens a new and so far unexplored avenue to solve the problem. Then, using…

Data Structures and Algorithms · Computer Science 2013-09-19 Pritom Ahmed , Costas S. Iliopoulos , A. S. M. Sohidull Islam , M. Sohel Rahman

Hand and arm gesture recognition using the radio frequency (RF) sensing modality proves valuable in manmachine interface and smart environment. In this paper, we use curve matching techniques for measuring the similarity of the maximum…

Signal Processing · Electrical Eng. & Systems 2019-11-12 Moeness G. Amin , Zhengxin Zeng , Tao Shan

Two important similarity measures between sequences are the longest common subsequence (LCS) and the dynamic time warping distance (DTWD). The computations of these measures for two given sequences are central tasks in a variety of…

Computational Complexity · Computer Science 2015-02-02 Amir Abboud , Arturs Backurs , Virginia Vassilevska Williams

Measuring the distance between ontological elements is fundamental for ontology matching. String-based distance metrics are notorious for shallow syntactic matching. In this exploratory study, we investigate Wasserstein distance targeting…

Artificial Intelligence · Computer Science 2022-09-22 Yuan An , Alex Kalinowski , Jane Greenberg